Atkin-Lehner |
2+ 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
12450l |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
448000 |
Modular degree for the optimal curve |
Δ |
-3428407296000000000 = -1 · 220 · 35 · 59 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3540701,2565629048] |
[a1,a2,a3,a4,a6] |
j |
-2513397956724215189/1755344535552 |
j-invariant |
L |
2.4828602547954 |
L(r)(E,1)/r! |
Ω |
0.24828602547954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99600ch1 37350bu1 12450s1 |
Quadratic twists by: -4 -3 5 |